Finite Group Databasebeta

← #7677793

Subgroups — #7677793

Order 512.

4803 conjugacy classes of subgroups.

The subgroup lattice has 1647 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59961C212yesmaximal, complemented
2#59869C211yesmaximal, characteristic, complemented
3#59821C211yesmaximal, characteristic, complemented
4#59701C212yesmaximal
5#59501C212yesmaximal, complemented
6#59459C211yesmaximal, characteristic, complemented
7#59444C211yesmaximal, characteristic, complemented
8#59435C212yesmaximal, complemented
9#59230C211yesmaximal, characteristic, complemented
10#59227C211yesmaximal, characteristic, complemented
11#59055C211yesmaximal, characteristic, complemented
12#59055C211yesmaximal, characteristic, complemented
13#45410C212yesmaximal, complemented
14#45217C212yesmaximal, complemented
15#45170C212yesmaximal, complemented
16#45133C212yesmaximal, complemented
17#43848C214yesmaximal, complemented
18#43823C214yesmaximal, complemented
19#40128C212yesmaximal, complemented
20#40123C212yesmaximal, complemented
21#40110C214yesmaximal, complemented
22#38818C214yesmaximal, complemented
23#36447C212yesmaximal, complemented
24#36413C212yesmaximal, complemented
25#35637C212yesmaximal, complemented
26#35635C212yesmaximal, complemented
27#35209C211yesmaximal, characteristic, complemented
28#35201C212yesmaximal, complemented
29#34929C211yesmaximal, characteristic, complemented
30#34914C211yesmaximal, characteristic
31#34322C211yesmaximal, characteristic, complemented
32#34300C212yesmaximal, complemented
33#34225C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35C4×#541C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#556C2211yescharacteristic
38C2×#552C2212yes—
39C2×#541C2211yescharacteristic
40C2×#541C2212yes—
41C2×#533C2211yescharacteristic
42C2×#533C2212yes—
43C2×#529C2212yes—
44#2861C2214yes—
45#2860C2212yes—
46#2859C2214yes—
47#2859C2212yes—
48#2809C2214yes—
49#2808C2214yes—
50#2803C2214yes—
51#2795C2214yes—
52#2792C2214yes—
53#2785C2214yes—
54#2785C2214yes—
55#2784C2214yes—
56#2783C2214yes—
57#2781C2214yes—
58#2781C2214yes—
59#2775C2214yes—
60#2775C2214yes—
61#2775C2214yes—
62#2775C2214yes—
63#2769C2214yes—
64#2727C2214yes—
65#2727C2214yes—
66#2721C2214yes—
67#2721C2214yes—
68#2721C2214yes—
69#2721C2214yes—
70#2694C2214yes—
71#2694C2214yes—
72#2664C2214yes—
73#2663C2214yes—
74#2663C2214yes—
75#2612C2214yes—
76#2611C2214yes—
77#2604C2214yes—
78#2604C2214yes—
79#2604C2214yes—
80#2601C2214yes—
81#2593C2214yes—
82#2586C2214yes—
83#2584C2212yes—
84#2574C2214yes—
85#2574C2214yes—
86#2571C2212yes—
87#2571C2212yes—
88#2571C2214yes—
89#2568C2212yes—
90#2568C2212yes—
91#2567C2212yes—
92#2567C2212yes—
93#2565C2214yes—
94#2563C2212yes—
95#2563C2212yes—
96#2562C2212yes—
97#2560C2214yes—
98#2560C2212yes—
99#2559C2212yes—
100#2559C2214yes—
101#2558C2214yes—
102#2558C2212yes—
103#2557C2212yes—
104#2556C2214yes—
105#2556C2214yes—
106#2556C2214yes—
107#2554C2214yes—
108#2553C2214yes—
109#2552C2212yes—
110#2552C2211yescharacteristic
111#2552C2214yes—
112#2551C2211yescharacteristic
113#2550C2212yes—
114#2548C2212yes—
115#2546C2212yes—
116#2546C2211yescharacteristic
117#2546C2211yescharacteristic
118#2542C2212yes—
119#2542C2211yescharacteristic
120#2542C2211yescharacteristic
121#2542C2212yes—
122#2542C2212yes—
123#2538C2211yescharacteristic
124#2538C2211yescharacteristic
125#2536C2212yes—
126#2532C2214yes—
127#2532C2214yes—
128#2532C2214yes—
129#2529C2214yes—
130#2529C2214yes—
131#2521C2214yes—
132#2519C2214yes—
133#2519C2214yes—
134#2519C2214yes—
135#2518C2214yes—
136#2513C2212yes—
137#2512C2211yescharacteristic
138#2512C2212yes—
139#2512C2212yes—
140#2512C2214yes—
141#2508C2214yes—
142#2508C2214yes—
143#2508C2212yes—
144#2508C2212yes—
145#2508C2214yes—
146#2508C2212yes—
147#2506C2214yes—
148#2506C2214yes—
149#2506C2212yes—
150#2506C2212yes—
151#2506C2211yescharacteristic
152#2500C2214yes—
153#2500C2212yes—
154#2499C2214yes—
155#2496C2214yes—
156#2496C2211yescharacteristic
157#2495C2214yes—
158#2492C2212yes—
159#2492C2212yes—
160#2491C2211yescharacteristic
161#2489C2212yes—
162#2489C2212yes—
163#2479C2214yes—
164#2479C2214yes—
165#2479C2214yes—
166#2479C2214yes—
167#2452C2211yescharacteristic
168#2452C2212yes—
169#2451C2212yes—
170#2451C2212yes—
171#2448C2212yes—
172#2448C2212yes—
173#2448C2212yes—
174#2448C2212yes—
175#2445C2212yes—
176#2445C2211yescharacteristic
177#2441C2214yes—
178#2439C2212yes—
179#2429C2212yes—
180#2429C2212yes—
181#2429C2212yes—
182#2429C2212yes—
183#2428C2211yescharacteristic
184#2426C2212yes—
185#2426C2212yes—
186#2423C2212yes—
187#2423C2212yes—
188#2422C2211yescharacteristic
189#2417C2212yes—
190#2417C2212yes—
191#2415C2212yes—
192#2415C2212yes—
193#2415C2212yes—
194#2415C2212yes—
195#2415C2212yes—
196#2415C2212yes—
197#2398C2212yes—
198#2396C2214yes—
199#2392C2212yes—
200#2374C2214yes—
201#2373C2214yes—
202#2373C2214yes—
203#2373C2214yes—
204#2371C2214yes—
205#2370C2212yes—
206#2370C2212yes—
207#2370C2212yes—
208#2369C2212yes—
209#2367C2212yes—
210#2367C2212yes—
211#2365C2211yescharacteristic
212#2365C2211yescharacteristic
213#2363C2212yes—
214#2362C2212yes—
215#2362C2212yes—
216#2362C2212yes—
217#2362C2212yes—
218#2362C2212yes—
219#2360C2212yes—
220#2356C2212yes—
221#2356C2212yes—
222#2355C2211yescharacteristic
223#2355C2212yes—
224#2355C2211yescharacteristic
225#2354C2212yes—
226#2354C2211yescharacteristic
227#2354C2212yes—
228#2351C2212yes—
229#2351C2212yes—
230Q8×C4⋊C4C2212yes—
231Q8×C4⋊C4C2212yes—
232Q8×C4⋊C4C2212yes—
233Q8×C4⋊C4C2212yes—
234D4×C4⋊C4C2211yescharacteristic
235#2347C2212yes—
236#2347C2212yes—
237#2346C2212yes—
238#2346C2214yes—
239#2346C2212yes—
240#2346C2212yes—
241#2346C2212yes—
242#2345C2212yes—
243#2336C2212yes—
244#2336C2212yes—
245#2335C2214yes—
246#2334C2214yes—
247#2334C2212yes—
248#2334C2212yes—
249#2334C2214yes—
250#2330C2211yescharacteristic
251#2327C2211yescharacteristic
252#2323C2212yes—
253#2323C2211yescharacteristic
254#2323C2211yescharacteristic
255#2323C2212yes—
256#2323C2212yes—
257#2323C2212yes—
258#2320C2211yescharacteristic
259#2320C2211yescharacteristic
260#2320C2212yes—
261#2314C2211yescharacteristic
262C4×C4⋊Q8C2211yescharacteristic
263C4×C4⋊Q8C2212yes—
264C4×C4⋊Q8C2211yescharacteristic
265C4×C4⋊Q8C2211yescharacteristic
266C4×C4⋊Q8C2211yescharacteristic
267C4×C4⋊Q8C2211yescharacteristic
268C4×C4⋊Q8C2211yescharacteristic
269C4×#127C2211yescharacteristic
270C4×#125C2212yes—
271C4×#125C2211yescharacteristic
272C4×#125C2212yes—
273C4×#125C2214yes—
274C4×#126C2212yes—
275C4×#126C2212yes—
276C4×#126C2214yes—
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285#2298C2214yes—
286#2295C2212yes—
287#2293C2211yescharacteristic
288#2293C2212yes—
289#2290C2212yes—
290#2285C2211yescharacteristic
291#2276C2212yes—
292#2274C2212yes—
293C42×Q8C2211yescharacteristic
294C42×Q8C2211yescharacteristic
295C42×Q8C2212yes—
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2212yes—
299#556—28no—
300#556—28no—
301#552—216no—
302#541—28no—
303#541—48no—
304#533—28no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315#529—48no—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2314yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2314yes—
334C2×#125C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2311yescharacteristic
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×C4×Q8C2312yes—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2314yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×#117C2311yescharacteristic
386C2×#117C2311yescharacteristic
387C2×#117C2312yes—
388C2×#117C2312yes—
389C2×#117C2312yes—
390C2×#117C2312yes—
391C2×#117C2314yes—
392C2×#117C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C42C2312yes—
397C22×C42C2311yescharacteristic
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2312yes—
408#400C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#399C2314yes—
416#399C2314yes—
417#398C2314yes—
418#398C2312yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#397C2314yes—
433#397C2312yes—
434#397C2312yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2312yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#394C2314yes—
459#394C2312yes—
460#394C2314yes—
461#394C2312yes—
462#394C2314yes—
463#394C2312yes—
464#394C2312yes—
465#394C2312yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#393C2314yes—
472#393C2312yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2312yes—
477#392C2312yes—
478#391C2312yes—
479#391C2314yes—
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2314yes—
488#391C2314yes—
489#391C2312yes—
490#391C2314yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2311yescharacteristic
497#391C2311yescharacteristic
498#391C2312yes—
499#390C2312yes—
500#390C2314yes—
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2314yes—
506#390C2312yes—
507#390C2314yes—
508#390C2311yescharacteristic
509#390C2312yes—
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#390C2314yes—
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2312yes—
517#389C2312yes—
518#389C2311yescharacteristic
519#389C2311yescharacteristic
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2311yescharacteristic
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2312yes—
541#389C2312yes—
542#389C2314yes—
543#389C2314yes—
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2314yes—
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2314yes—
551#389C2314yes—
552#389C2311yescharacteristic
553#389C2311yescharacteristic
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2314yes—
561#389C2314yes—
562#389C2312yes—
563#389C2311yescharacteristic
564#389C2314yes—
565#389C2314yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2311yescharacteristic
570#389C2314yes—
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#388C2312yes—
577#388C2312yes—
578#388C2312yes—
579#388C2312yes—
580#388C2312yes—
581#388C2312yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2312yes—
586#388C2314yes—
587#388C2312yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#387C2312yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2312yes—
634#387C2312yes—
635#387C2312yes—
636#387C2314yes—
637#387C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2312yes—
645#387C2312yes—
646#387C2312yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2311yescharacteristic
689#384C2311yescharacteristic
690#384C2312yes—
691#384C2314yes—
692#384C2312yes—
693#384C2314yes—
694#384C2312yes—
695#384C2314yes—
696#384C2314yes—
697#383C2312yes—
698#383C2312yes—
699#383C2314yes—
700#383C2314yes—
701#382C2311yescharacteristic
702#382C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2314yes—
709#382C2314yes—
710#382C2314yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2314yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2311yescharacteristic
721#380C2314yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2311yescharacteristic
727#380C2312yes—
728#380C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2312yes—
737C4×C4⋊C4C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2314yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2311yescharacteristic
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2314yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2311yescharacteristic
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2314yes—
810#376C2314yes—
811#376C2314yes—
812#376C2314yes—
813C43C2312yes—
814C43C2312yes—
815C43C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C22×Q8C2412yes—
819C22×Q8C2411yescharacteristic
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4C2411yescharacteristic
825C22×D4C2411yescharacteristic
826C22×D4C2412yes—
827C22×D4C2412yes—
828C22×D4C2412yes—
829C22×D4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2414yes—
836C23×C4C2411yescharacteristic
837C23×C4C2412yes—
838C4⋊Q8—24no—
839C4⋊Q8—24no—
840C4⋊Q8—24no—
841C4⋊Q8—44no—
842C4⋊Q8—44no—
843C4⋊Q8—44no—
844C4⋊Q8—44no—
845C4⋊Q8#4118yes—
846#127—42no—
847#126—28no—
848#126—28no—
849#126—216no—
850#126—216no—
851#126—216no—
852#126—44no—
853#126—44no—
854#126—48no—
855#126—48no—
856#125—28no—
857#125—28no—
858#125—28no—
859#125—216no—
860#125—44no—
861#125—48no—
862#125—44no—
863#125—48no—
864#125—48no—
865#125#4118yes—
866#124—28no—
867#124—28no—
868#124—44no—
869#123—216no—
870#123—44no—
871#123—44no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—24no—
875C22⋊Q8—24no—
876C22⋊Q8—28no—
877C22⋊Q8—28no—
878C22⋊Q8—28no—
879C22⋊Q8—28no—
880C22⋊Q8—44no—
881C22⋊Q8—48no—
882C22⋊Q8—44no—
883C22⋊Q8—44no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886#121—24no—
887#121—44no—
888#121—42no—
889C4×Q8—28no—
890C4×Q8—28no—
891C4×Q8—28no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—28no—
896C4×Q8—28no—
897C4×Q8—24no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—24no—
902C4×Q8—44no—
903C4×Q8—48no—
904C4×Q8—44no—
905C4×Q8—44no—
906C4×Q8—44no—
907C4×D4—24no—
908C4×D4—28no—
909C4×D4—24no—
910C4×D4—24no—
911C4×D4—42no—
912C4×D4—44no—
913C4×D4—44no—
914C4×D4—44no—
915C4×D4—44no—
916#117—28no—
917#117—28no—
918#117—216no—
919#117—28no—
920#117—28no—
921#117—24no—
922#117—24no—
923#117—28no—
924#117—48no—
925#117—44no—
926C2×C4⋊C4—28no—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2412yes—
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2414yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2412yes—
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2411yescharacteristic
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2414yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C42—24no—
1054C2×C42—28no—
1055C2×C42C2412yes—
1056C2×C42C2414yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2412yes—
1059C2×C42C2414yes—
1060C2×C42C2411yescharacteristic
1061C2×C42C2414yes—
1062C2×C42C2414yes—
1063C2×C42C2414yes—
1064C2×C42C2414yes—
1065C2×C42C2411yescharacteristic
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2414yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2414yes—
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100#95C2411yescharacteristic
1101#95C2414yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2411yescharacteristic
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2411yescharacteristic
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2412yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2414yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172C24C2511yescharacteristic
1173C24C2512yes—
1174C24C2512yes—
1175C2×Q8—24no—
1176C2×Q8—22no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—22no—
1180C2×Q8—22no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—22no—
1184C2×Q8—24no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—44no—
1190C2×Q8—42no—
1191C2×Q8—44no—
1192C2×Q8C2×#4118yes—
1193C2×D4—22no—
1194C2×D4—22no—
1195C2×D4—24no—
1196C2×D4—22no—
1197C2×D4—22no—
1198C2×D4—24no—
1199C2×D4—22no—
1200C2×D4—22no—
1201C2×D4—42no—
1202C2×D4—42no—
1203C2×D4—42no—
1204C2×D4—42no—
1205C2×D4—42no—
1206C2×D4—42no—
1207C2×D4—42no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C22×C4—22no—
1212C22×C4—22no—
1213C22×C4—22no—
1214C22×C4—24no—
1215C22×C4—24no—
1216C22×C4—24no—
1217C22×C4—24no—
1218C22×C4—22no—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—28no—
1227C22×C4—24no—
1228C22×C4—42no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—42no—
1232C22×C4—44no—
1233C22×C4—42no—
1234C22×C4—44no—
1235C22×C4C2511yescharacteristic
1236C22×C4C2511yescharacteristic
1237C22×C4C2511yescharacteristic
1238C22×C4C2511yescharacteristic
1239C22×C4C2512yes—
1240C22×C4C2512yes—
1241C22×C4C2514yes—
1242C22×C4C2512yes—
1243C22×C4C2512yes—
1244C22×C4C2511yescharacteristic
1245C22×C4C2512yes—
1246C22×C4C2512yes—
1247C22×C4C2511yescharacteristic
1248C22×C4C2514yes—
1249C22×C4C2512yes—
1250C22×C4C2512yes—
1251C22×C4C2514yes—
1252C22×C4C2512yes—
1253C22×C4C2512yes—
1254C22×C4C2512yes—
1255C22×C4C2511yescharacteristic
1256C22×C4C2512yes—
1257C22×C4C2511yescharacteristic
1258C22×C4C2514yes—
1259C22×C4C2511yescharacteristic
1260C22×C4C2511yescharacteristic
1261C22×C4C2512yes—
1262C22×C4C2511yescharacteristic
1263C22×C4C2511yescharacteristic
1264C22×C4C2512yes—
1265C22×C4C2511yescharacteristic
1266C22×C4C2511yescharacteristic
1267C4⋊C4—24no—
1268C4⋊C4—28no—
1269C4⋊C4—22no—
1270C4⋊C4—22no—
1271C4⋊C4—28no—
1272C4⋊C4—22no—
1273C4⋊C4—22no—
1274C4⋊C4—24no—
1275C4⋊C4—22no—
1276C4⋊C4—22no—
1277C4⋊C4—24no—
1278C4⋊C4—28no—
1279C4⋊C4—28no—
1280C4⋊C4—28no—
1281C4⋊C4—28no—
1282C4⋊C4—24no—
1283C4⋊C4—28no—
1284C4⋊C4—24no—
1285C4⋊C4—24no—
1286C4⋊C4—24no—
1287C4⋊C4—24no—
1288C4⋊C4—24no—
1289C4⋊C4—24no—
1290C4⋊C4—28no—
1291C4⋊C4—24no—
1292C4⋊C4—24no—
1293C4⋊C4—22no—
1294C4⋊C4—24no—
1295C4⋊C4—22no—
1296C4⋊C4—24no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—28no—
1302C4⋊C4—24no—
1303C4⋊C4—28no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—42no—
1311C4⋊C4—42no—
1312C4⋊C4—42no—
1313C4⋊C4—42no—
1314C4⋊C4—42no—
1315C4⋊C4—44no—
1316C4⋊C4—42no—
1317C4⋊C4—42no—
1318C4⋊C4—42no—
1319C4⋊C4—42no—
1320C4⋊C4—44no—
1321C4⋊C4—44no—
1322C4⋊C4—42no—
1323C4⋊C4—42no—
1324C4⋊C4—42no—
1325C4⋊C4—44no—
1326C4⋊C4—44no—
1327C4⋊C4—44no—
1328C4⋊C4—42no—
1329C4⋊C4—44no—
1330C4⋊C4—44no—
1331C4⋊C4—44no—
1332C4⋊C4—42no—
1333C4⋊C4—42no—
1334C4⋊C4—44no—
1335C4⋊C4—44no—
1336C4⋊C4—44no—
1337C4⋊C4—44no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4C2×#4114yes—
1342C4⋊C4C2×#4114yes—
1343C4⋊C4C2×#4118yes—
1344C4⋊C4C2×#4118yes—
1345C4⋊C4C2×#4118yes—
1346C4⋊C4C2×#4118yes—
1347C4⋊C42−1+414yes—
1348C22⋊C4—24no—
1349C22⋊C4—28no—
1350C22⋊C4—28no—
1351C22⋊C4—28no—
1352C22⋊C4—28no—
1353C22⋊C4—28no—
1354C22⋊C4—22no—
1355C22⋊C4—22no—
1356C22⋊C4—24no—
1357C22⋊C4—24no—
1358C22⋊C4—24no—
1359C22⋊C4—28no—
1360C22⋊C4—28no—
1361C22⋊C4—28no—
1362C22⋊C4—24no—
1363C22⋊C4—24no—
1364C22⋊C4—22no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—42no—
1371C22⋊C4—42no—
1372C22⋊C4—42no—
1373C22⋊C4—42no—
1374C22⋊C4—44no—
1375C22⋊C4—42no—
1376C22⋊C4—44no—
1377C22⋊C4—44no—
1378C22⋊C4—42no—
1379C22⋊C4—44no—
1380C22⋊C4—44no—
1381C22⋊C4—44no—
1382C22⋊C4—42no—
1383C22⋊C4—44no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—42no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C42—22no—
1394C42—22no—
1395C42—22no—
1396C42—28no—
1397C42—28no—
1398C42—22no—
1399C42—28no—
1400C42—28no—
1401C42—28no—
1402C42—24no—
1403C42—24no—
1404C42—24no—
1405C42—24no—
1406C42—24no—
1407C42—24no—
1408C42—24no—
1409C42—22no—
1410C42—24no—
1411C42—24no—
1412C42—28no—
1413C42—24no—
1414C42—22no—
1415C42—28no—
1416C42—24no—
1417C42—22no—
1418C42—22no—
1419C42—24no—
1420C42—22no—
1421C42—41no—
1422C42—41no—
1423C42—42no—
1424C42—42no—
1425C42—41no—
1426C42—41no—
1427C42—44no—
1428C42—42no—
1429C42—42no—
1430C42—44no—
1431C42—44no—
1432C42—44no—
1433C42—44no—
1434C42—44no—
1435C42C2×#4114yes—
1436C42C2×#4114yes—
1437C42H(5,𝔽2)14yes—
1438C23—21no—
1439C23—22no—
1440C23—22no—
1441C23—22no—
1442C23—21no—
1443C23—22no—
1444C23—22no—
1445C23—21no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—21no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—22no—
1455C23—21no—
1456C23—22no—
1457C23—21no—
1458C23—22no—
1459C23C2611yescharacteristic
1460Q8—216no—
1461Q8—48no—
1462Q8—44no—
1463Q8—44no—
1464Q8—84no—
1465Q8—88no—
1466D4—44no—
1467D4—44no—
1468D4—84no—
1469D4—84no—
1470D4—84no—
1471D4—84no—
1472C2×C4—22no—
1473C2×C4—22no—
1474C2×C4—21no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—22no—
1480C2×C4—24no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—22no—
1486C2×C4—22no—
1487C2×C4—21no—
1488C2×C4—22no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—22no—
1492C2×C4—22no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—24no—
1496C2×C4—22no—
1497C2×C4—22no—
1498C2×C4—22no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—24no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—22no—
1506C2×C4—24no—
1507C2×C4—22no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—24no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—22no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—21no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—24no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—22no—
1540C2×C4—22no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—48no—
1554C2×C4—44no—
1555C2×C4—44no—
1556C2×C4—48no—
1557C2×C4—48no—
1558C2×C4—44no—
1559C2×C4—88no—
1560C2×C4—84no—
1561C2×C4C22×#4112yes—
1562C2×C4C22×#4114yes—
1563C2×C4C22×#4118yes—
1564C2×C4C22×#4112yes—
1565C2×C4C22×#4114yes—
1566C2×C4C22×#4112yes—
1567C2×C4C22×#4112yes—
1568C2×C4C22×#4112yes—
1569C2×C4C22×#4112yes—
1570C2×C4C2×H(5,𝔽2)12yes—
1571C2×C4C2×H(5,𝔽2)12yes—
1572C2×C4C2×H(5,𝔽2)12yes—
1573C2×C4C2×2−1+414yes—
1574C2×C4C2×2−1+412yes—
1575C2×C4#58512yes—
1576C22—41no—
1577C22—42no—
1578C22—42no—
1579C22—42no—
1580C22—42no—
1581C22—41no—
1582C22—41no—
1583C22—42no—
1584C22—42no—
1585C22—41no—
1586C22—42no—
1587C22—42no—
1588C22—42no—
1589C22—41no—
1590C22—42no—
1591C22—42no—
1592C22—41no—
1593C22—42no—
1594C22—41no—
1595C22—42no—
1596C22—42no—
1597C22C23×#4111yescharacteristic
1598C22C23×#4111yescharacteristic
1599C22C22×H(5,𝔽2)11yescharacteristic
1600C22C22×2−1+411yescharacteristic
1601C22C2×#58511yescharacteristic
1602C222−1+611yescharacteristic
1603C222−1+611yescharacteristic
1604C4—24no—
1605C4—22no—
1606C4—24no—
1607C4—22no—
1608C4—28no—
1609C4—22no—
1610C4—22no—
1611C4—24no—
1612C4—22no—
1613C4—41no—
1614C4—41no—
1615C4—44no—
1616C4—41no—
1617C4—42no—
1618C4—42no—
1619C4—41no—
1620C4—42no—
1621C4—42no—
1622C4—41no—
1623C4—42no—
1624C4—42no—
1625C4—41no—
1626C4—44no—
1627C4—42no—
1628C4—42no—
1629C4—42no—
1630C4—41no—
1631C4—44no—
1632C4—42no—
1633C4—42no—
1634C4#348314yes—
1635C4#351514yes—
1636C2—82no—
1637C2—82no—
1638C2—81no—
1639C2C2×#348311yescharacteristic
1640C2C2×#351511yescharacteristic
1641C2#6285011yescharacteristic
1642C2#6294211yescharacteristic
1643C2#6296011yescharacteristic
1644C2#6300111yescharacteristic
1645C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2428C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59961C2semidirect
2. #59869C2semidirect
3. #59821C2semidirect
5. #59501C2semidirect
6. #59459C2semidirect
7. #59444C2semidirect
8. #59435C2semidirect
9. #59230C2semidirect
10. #59227C2semidirect
11. #59055C2semidirect
12. #59055C2semidirect
13. #45410C2semidirect
14. #45217C2semidirect
15. #45170C2semidirect
16. #45133C2semidirect
17. #43848C2semidirect
18. #43823C2semidirect
19. #40128C2semidirect
20. #40123C2semidirect
21. #40110C2semidirect
22. #38818C2semidirect
23. #36447C2semidirect
24. #36413C2semidirect
25. #35637C2semidirect
26. #35635C2semidirect
27. #35209C2semidirect
28. #35201C2semidirect
29. #34929C2semidirect
31. #34322C2semidirect
32. #34300C2semidirect
33. #34225C2semidirect
34. C4×#556C2semidirect
35. C4×#541C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#599612
#598692
#598212
#597012
#595012
#594592
#594442
#594352
#592302
#592272
#590552
#454102
#452172
#451702
#451332
#438482
#438232
#401282
#401232
#401102
#388182
#364472
#364132
#356372
#356352
#352092
#352012
#349292
#349142
#343222
#343002
#342252
C4×#5562
C4×#5412